Manning-Rosen potential

Journal Title, Volume, Page:

Ann. Phys. (Berlin) 17, No. 11, 897 – 910

Year of Publication:

2008

Link:

http://arxiv.org/abs/0801.3518

Authors:

Sameer M. Ikhdair

Department of Physics, Near East University, Nicosia, Cyprus, Mersin 10, Turkey

Current Affiliation:

Physics Department, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

Ramazan Sever

Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

Preferred Abstract (Original):

The Schrödinger equation in D-dimensions for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states eigensolutions (eigenvalues and eigenfunctions). The NikiforovUvarov (NU) method is used in the calculations. We present numerical calculations of energy eigenvalues to two- and four-dimensional systems for arbitrary quantum numbers n and l with three different values of the potential parameter α. It is shown that because of the interdimensional degeneracy of eigenvalues, we can also reproduce eigenvalues of a upper/lower dimensional system from the well-known eigenvalues of a lower/upper dimensional system by means of the transformation (n, l, D) → (n, l ±1,D∓2). This solution reduces to the Hulthén potential case.

An-Najah Staff

Approximate l-state solutions of the D-dimensional Schrödinger equation for Manning-Rosen potential